So, you are trying to filter using the LIKE clause, where you want the "[" or "]" characters to be interpreted as text to be searched ?
From Visual Studio help on the DataColumn.Expression Property :
"If a bracket is in the clause, the bracket characters should be escaped in brackets (for example [[] or []])."
So, you could use code like this :
DataTable dt = new DataTable("t1");
dt.Columns.Add("ID", typeof(int));
dt.Columns.Add("Description", typeof(string));
dt.Rows.Add(new object[] { 1, "pie"});
dt.Rows.Add(new object[] { 2, "cake [mud]" });
string part = "[mud]";
part = part.Replace("[", "\x01");
part = part.Replace("]", "[]]");
part = part.Replace("\x01", "[[]");
string filter = "Description LIKE '*" + part + "*'";
DataView dv = new DataView(dt, filter, null, DataViewRowState.CurrentRows);
MessageBox.Show("Num Rows selected : " + dv.Count.ToString());
Note that a HACK is used. The character \x01 (which I'm assuming won't be in the "part" variable initially), is used to temporarily replace left brackets. After the right brackets are escaped, the temporary "\x01" characters are replaced with the required escape sequence for the left bracket.